How many solutions does this equation have |5x+10|=-100

No solutions

Step-by-step explanation:

One way in which to solve this absolute value problem is to divide it through by 5, obtaining:  |x + 2| = - 20

Here it becomes obvious that we have a negative result for an absolute value expression, which is NEVER acceptable.

Thus, this equation has NO solutions.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x